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On the metrical properties of the configuration space
Author(s) -
Kondratiev Yu. G.,
Kutoviy O. V.
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310392
Subject(s) - mathematics , space (punctuation) , configuration space , topology (electrical circuits) , topological space , pure mathematics , combinatorics , computer science , physics , quantum mechanics , operating system
We study some topological and metrical properties of configuration spaces. In particular, we introduce a family of metrics on the configuration space Γ, which makes it a Polish space. Compact functions on Γ are also considered. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)